120130002000031 has 2 divisors, whose sum is σ = 120130002000032. Its totient is φ = 120130002000030.

The previous prime is 120130001999963. The next prime is 120130002000049. The reversal of 120130002000031 is 130000200031021.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 120130002000031 - 2²¹ = 120129999902879 is a prime.

It is a super-2 number, since 2×120130002000031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120130001999975 and 120130002000020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120130002000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60065001000015 + 60065001000016.

It is an arithmetic number, because the mean of its divisors is an integer number (60065001000016).

Almost surely, 2^{120130002000031} is an apocalyptic number.

120130002000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

120130002000031 is an equidigital number, since it uses as much as digits as its factorization.

120130002000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 120130002000031 its reverse (130000200031021), we get a palindrome (250130202031052).

The spelling of 120130002000031 in words is "one hundred twenty trillion, one hundred thirty billion, two million, thirty-one", and thus it is an aban number.